Robert E. Gaines

1.8k citations
22 papers · 1.4k · 1 hit paper · h-index 12

Impact in

    • Differential Equations and Numerical Methods
    • Numerical methods for differential equations
    • Nonlinear Differential Equations Analysis
    • Differential Equations and Boundary Problems
    • Nonlinear Partial Differential Equations

Papers in

    • Differential Equations and Numerical Methods 10
    • Numerical methods for differential equations 6
    • Nonlinear Differential Equations Analysis 5
    • Differential Equations and Boundary Problems 5
    • Nonlinear Partial Differential Equations 4

Robert E. Gaines

22 papers receiving 1.3k citations

Robert E. Gaines's Hit Papers

Coincidence Degree, and Nonlinear Differential Equations 1977 · 1.1k citations
1.1k0+16+32Years since publication2505007501000

Peers

Robert E. Gaines
Comparison fields: 5 of 83
  • Numerical Analysis 483
  • Applied Mathematics 927
  • Modeling and Simulation 186
  • Geometry and Topology 316
  • Public Health, Environmental and Occupational Health 484
Replace Shair Ahmad with:
Shair Ahmad United States
Sui Sun Cheng Taiwan
Joseph Wiener United States
Jitsuro Sugié Japan
Richard E. Flaherty
Shiping Lu China
Walter G. Kelley United States
Jurang Yan China
Manuel Pinto Chile
N. A. Perestyuk Ukraine
Robert E. Gaines relative to Shair Ahmad United States Shair Ahmad's profile →
Citations per field
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Citations per year

Countries citing papers authored by Robert E. Gaines

Since Specialization
Citations

This map shows the geographic impact of Robert E. Gaines's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Robert E. Gaines with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Robert E. Gaines more than expected).

Fields of papers citing papers by Robert E. Gaines

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert E. Gaines. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Robert E. Gaines. The network helps show where Robert E. Gaines may publish in the future.

Co-authors

The 4 scholars most cited alongside Robert E. Gaines, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Robert E. Gaines Line = papers co-authored together Robert E. Gaines links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 22 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Coincidence Degree, and Nonlinear Differential Equations
Hit paper breakdown →
19771095
2 197454
3 199746
4 196937
5 197733
6 198228
7 200324
8 197218
9 196818
10 197614
11 196812
12 197711
13 198110
14 19779
15 19748
16 19857
17 19837
18 19946
19 19735
20 19783

About Robert E. Gaines

Robert E. Gaines is a scholar working on Numerical Analysis, Applied Mathematics, Computational Theory and Mathematics, Social Psychology and Clinical Psychology, having authored 22 papers that have together received 1.4k indexed citations. Recurring topics across this work include Differential Equations and Numerical Methods (10 papers), Numerical methods for differential equations (6 papers), Advanced Mathematical Modeling in Engineering (5 papers), Nonlinear Differential Equations Analysis (5 papers), Differential Equations and Boundary Problems (5 papers), Nonlinear Partial Differential Equations (4 papers), Economic theories and models (3 papers) and Economic Growth and Productivity (3 papers). The work is most often cited by research in Numerical Analysis (483 citations), Applied Mathematics (927 citations), Modeling and Simulation (186 citations), Geometry and Topology (316 citations) and Public Health, Environmental and Occupational Health (484 citations). Robert E. Gaines has collaborated with scholars based in United States and Belgium. Frequent co-authors include Jean Mawhin, J. Bebernes, Wolfgang Walter and Chaitan P. Gupta. Their work appears in journals such as Journal of Economic Theory, Journal of Differential Equations, Journal of Mathematical Analysis and Applications, Contemporary Psychoanalysis and Journal of Clinical Psychology.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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